28874880 has 160 divisors (see below), whose sum is σ = 103302540. Its totient is φ = 7686144.

The previous prime is 28874869. The next prime is 28874897. The reversal of 28874880 is 8847882.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 2742336 = 5112^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51562 + ... + 52118.

Almost surely, 2^28874880 is an apocalyptic number.

28874880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51651270).

28874880 is an abundant number, since it is smaller than the sum of its proper divisors (74427660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28874880 is an equidigital number, since it uses as much as digits as its factorization.

28874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 28874880 is about 5373.5351492290. The cubic root of 28874880 is about 306.7891969926.

The spelling of 28874880 in words is "twenty-eight million, eight hundred seventy-four thousand, eight hundred eighty".